Exact analytic solutions of nonlinear boundary value problems in fluid mechanics (Blasius equations)

Panayotounakos, DE; Sotiropoulos, NB; Sotiropoulou, AB; Panayotounakou, ND

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Sotiropoulos, NB	en
dc.contributor.author	Sotiropoulou, AB	en
dc.contributor.author	Panayotounakou, ND	en
dc.date.accessioned	2014-03-01T01:22:19Z
dc.date.available	2014-03-01T01:22:19Z
dc.date.issued	2005	en
dc.identifier.issn	0022-2488	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16528
dc.subject.classification	Physics, Mathematical	en
dc.subject.other	LAYER EQUATIONS	en
dc.title	Exact analytic solutions of nonlinear boundary value problems in fluid mechanics (Blasius equations)	en
heal.type	journalArticle	en
heal.identifier.primary	10.1063/1.1819528	en
heal.identifier.secondary	http://dx.doi.org/10.1063/1.1819528	en
heal.identifier.secondary	033101	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this work it is shown that, by a series of admissible functional transformations, the generalized Blasius equation in fluids can be exactly reduced to a three-term generalized Emden-Fowler equation. Furthermore, the restricted in axisymmetric flows and simplified forms of this equation can be reduced to (i) two-term generalized Emden-Fowler equations; (ii) generalized Emden-Fowler equations; (iii) Emden-Fowler equations of the normal form; and (iv) Abel equations of the second kind. By means of a recently developed mathematical solution methodology (Panayotounakos, Fifth Greek Congress on Mechanics, Xania, Crete, 22-25 June 2004, Hellas, Greece), we provide exact analytic solutions for the simplified as well as for the restricted forms of the above-mentioned Blasius equations. Thus, it is proved that important, unsolvable in exact form problems in nonlinear fluid dynamics now can be analytically solved. (C) 2005 American Institute Of Physics.	en
heal.publisher	AMER INST PHYSICS	en
heal.journalName	Journal of Mathematical Physics	en
dc.identifier.doi	10.1063/1.1819528	en
dc.identifier.isi	ISI:000227949000022	en
dc.identifier.volume	46	en
dc.identifier.issue	3	en